well that's up to you yes I see no problem with it.
Is it ok to get into a relationship immediately after meeting someone?
To each their own....
But if you mean is it WISE to then probably not.
If you mean jumping straight into bed with them... NO
OK?---one never knows, but It does happen. How it turns out depends on the two of you as you move forward.
Back ground check maybe?
Follow your heart not your head.